Results 1 to 10 of about 427 (133)

From head micro-motions towards CSF dynamics and non-invasive intracranial pressure monitoring [PDF]

Scientific Reports, 2021
Continuous monitoring of the intracranial pressure (ICP) is essential in neurocritical care. There are a variety of ICP monitoring systems currently available, with the intraventricular fluid filled catheter transducer currently representing the “gold ...
Arnošt Mládek, Václav Gerla, Petr Šeba, Vladimír Kolář, Petr Skalický, Helen Whitley, Lenka Lhotská, Vladimír Beneš, Ondřej Bradáč   +8 more
doaj   +2 more sources

Reassessing the foundations of metric-affine gravity [PDF]

European Physical Journal C: Particles and Fields
We reassess foundational aspects of Metric-Affine Gravity (MAG) in light of the Dressing Field Method, a tool allowing to systematically build gauge-invariant field variables.
J. François, L. Ravera
doaj   +2 more sources

Revisiting Volterra defects: geometrical relation between edge dislocations and wedge disclinations [PDF]

Royal Society Open Science
This study presents a comprehensive mathematical model for Volterra defects and explores their relations using differential geometry on Riemann–Cartan manifolds.
Shunsuke Kobayashi, Katsumi Takemasa, Ryuichi Tarumi   +2 more
doaj   +2 more sources

Geometrical frustration in nonlinear mechanics of screw dislocation [PDF]

Royal Society Open Science
The existence of stress singularities and reliance on linear approximations pose significant challenges in comprehending the stress field generation mechanism around dislocations.
Shunsuke Kobayashi, Ryuichi Tarumi
doaj   +2 more sources

The General Linear Cartan Khronon

Universe, 2019
A Cartan geometry of the General Linear symmetry is formulated by dividing out the displacements from the group. The resulting action is quadratic in curvature, polynomial in all the (minimal) variables, and describes an observer space that—in the ...
Tomi Koivisto, Manuel Hohmann, Tom Złośnik   +2 more
doaj   +3 more sources

Deformation theory of holomorphic Cartan geometries, II

Complex Manifolds, 2022
In this continuation of [4], we investigate the deformations of holomorphic Cartan geometries where the underlying complex manifold is allowed to move. The space of infinitesimal deformations of a flat holomorphic Cartan geometry is computed.
Biswas Indranil, Dumitrescu Sorin, Schumacher Georg   +2 more
doaj   +1 more source

Background field method for nonlinear sigma models in nonrelativistic string theory

Journal of High Energy Physics, 2020
We continue the study of nonrelativistic string theory in background fields. Nonrelativistic string theory is described by a nonlinear sigma model that maps a relativistic worldsheet to a non-Lorentzian and non-Riemannian target space geometry, which is ...
Ziqi Yan, Matthew Yu
doaj   +1 more source

The gauging procedure and carrollian gravity

Journal of High Energy Physics, 2022
We discuss a gauging procedure that allows us to construct lagrangians that dictate the dynamics of an underlying Cartan geometry. In a sense to be made precise in the paper, the starting datum in the gauging procedure is a Klein pair corresponding to a ...
José Figueroa-O’Farrill, Emil Have, Stefan Prohazka, Jakob Salzer   +3 more
doaj   +1 more source

Holomorphic Cartan geometries and rational curves

Complex Manifolds, 2016
We prove that any compact Kähler manifold bearing a holomorphic Cartan geometry contains a rational curve just when the Cartan geometry is inherited from a holomorphic Cartan geometry on a lower dimensional compact Kähler manifold.
Biswas Indranil, McKay Benjamin
doaj   +1 more source

On Cartan torsion of 4-dimensional Finsler manifolds [PDF]

Journal of Hyperstructures
There are several non-Riemannian curvatures in Finsler geometry which show the complexity of Finsler geometry with respect to Riemannian geometry. Amon these quantities, the Cartan and mean Cartan torsion have very important and brilliant positions.
Akbar Tayebi
doaj   +1 more source